cho M=102016+102015+102014+102013+8
a) chung minh rang:M chia het cho 24
b)chung minh rang: M khong phai la so chinh phuong
cho p la tich cua 2016 so nguyen to dau tien
chung minh rang p-1 va p+1 khong la so chinh phuong
a. So sanh 2 phan so:A= 2015/2016+2016/2017+2017/2018 va B = 2015+2016+2017/2016+2017+2018
b.1/2.4+1/4.6+........+1/(2x-2).2x = 1/8
c.Cho A = 1/4+1/9+1/16+...+1/81+1/100 . Chung minh rang : A > 65/132
d.Cho B = 12/(2 . 4 ) ^ 2 + 20/ (4 . 6) ^2 + ...........+ 388/ ( 96 . 98 ) ^ 2 + 396/ ( 98 . 100 ) ^2 .Hay so sanh B voi 1 /4
cho a bang 2^2+2^3+...+2^20 chung minh rang A+4 khong phai la so chinh phuong
A=4^2015+4^2016+4^2017+4^2018. chung minh rang tong A chia hết cho 5
so sánh
P=2015/2016+2016/2017+2017/2018 và Q=2015+2016+2017/2016+2017+2018
so sánh 2 p/s A=2015/2016+2016/2017+2017/2018 va B=2015+2016+2017/2016+2017+2018
so sánh : A= 2015/2016 + 2016/2017 + 2017/2018 và B= 2015+2016+2017 / 2016+2017+2018
so sánh : A= 2015/2016 + 2016/2017 + 2017/2018 và B= 2015+2016+2017 / 2016+2017+2018